49683762442080 has 288 divisors, whose sum is σ = 182649861497376. Its totient is φ = 12225694113792.

The previous prime is 49683762442063. The next prime is 49683762442103. The reversal of 49683762442080 is 8024426738694.

49683762442080 is a `hidden beast` number, since 4 + 9 + 68 + 3 + 76 + 2 + 4 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 49683762441999 and 49683762442017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54830779 + ... + 55729541.

It is an arithmetic number, because the mean of its divisors is an integer number (634200907977).

Almost surely, 2^{49683762442080} is an apocalyptic number.

49683762442080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49683762442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91324930748688).

49683762442080 is an abundant number, since it is smaller than the sum of its proper divisors (132966099055296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49683762442080 is a wasteful number, since it uses less digits than its factorization.

49683762442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901750 (or 901739 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 49683762442080 in words is "forty-nine trillion, six hundred eighty-three billion, seven hundred sixty-two million, four hundred forty-two thousand, eighty".